For each of the following angles, (i) sketch the angle in standard position and (ii) determine in which quadrant the angle lies. (a) ? = -150? (i) (ii) ? lies in quadrant . (b) ? = 13p 3 (i) (ii) ?...

Worksheet #1 MATH U127: Precalculus II 7/5 Name: Directions: 1) You must write up your solutions individually. 2) Show all work for full credit. 3) Clearly indicate your ?nal answer. 4) Each question is worth 3 points for a total of 15 points. This worksheet is due onTuesday, July 11th at8:00am. 1. Foreachofthefollowingangles,(i)sketchtheangleinstandardpositionand(ii)determine in which quadrant the angle lies. 13  (b)= (a)=150 3 (i) (i) (ii) lies in quadrant . (ii) lies in quadrant . 2. Determinetwoothercoterminalangles(onenegativeandonepositive)foreachgivenangle.  (a) 93 4 (b) 3  3. (a) Convert65 to radian measure and write it as a multiple of. 7 (b) Convert radians to degree measure. Round to three decimal places. 54. (a) Find the length of the arc from point A to point B on the following circle. Provide appropriate units. (b)Asprinklersystemonafarmissettospraywateroveradistanceofupto15metersandto  rotate through an angle of 100 . Draw a diagram that shows the region that can be irrigated with the sprinkler. Find the area of this region. Provide appropriate units. 5. Supposethatthetiresonamotorcyclehavediameter18inchesandthatthetiresatrotating at 933 revolutions per minute. (a) Find the angular speed of a point on the outside of the tire in radians per minute. (b) Find the linear speed of a point on the outside of the tire in miles per hour. (One can also see that this is the speed of the motorcycle, if you view this point as the point where the tire contacts the road.) Round your answer to three decimal places. (HINT: 1 mi= 5280 ft.)